Application Space probes may be separated from their launchers by exploding bolts. (They bolt away from one another.) Suppose a 4800-kg satellite uses this method to separate from the 1500-kg remains of its launcher, and that 5000 J of kinetic energy is supplied to the two parts. What are their subsequent velocities using the frame of reference in which they were at rest before separation?

Problem 37PE Problem Professional Application Space probes may be separated from their launchers by exploding bolts. (They bolt away from one another.) Suppose a 4800-kg satellite uses this method to separate from the 1500-kg remains of its launcher, and that 5000 J of kinetic energy is supplied to the two parts. What are their subsequent velocities using the frame of reference in which they were at rest before separation Step-by-step solution In this problem we have to calculate the subsequent velocity by using the frame of refer of a space probe by considering the given data respectively: Step 1 of 6 The momentum is conserved. It is assumed that initially it is in rest (frame of reference before separation). The initial momentum is zero. Therefore, the expression of the conservation of the momentum is, Here is the mass of the satellite, is the mass of the launcher, is the velocity of the satellite after separation and is the velocity of the launchers after separation, Rearrange the expression of the conservation of momentum for the velocity of the launcher , Step 2 of 6 The expression to find the kinetic energy is: Combine the expression of the kinetic energy and the expression of the launcher velocity, Step 3 of 6 Rearrange the expression for the velocity of the satellite, Substitute , and in the above expression, Hence the velocity of the satellite is .